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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 194 · 40 questions
TalentJR

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 20, 13, 16 and 11? (a) 16 (b) 12 (c) 20 (d) 15
  2. 2.What is the mean of 6, 17, 12, 7 and 18? (a) 15 (b) 13 (c) 12 (d) 10
  3. 3.What is the mode of 3, 3, 14, 13, 15, 15 and 3? (a) 3 (b) 15 (c) 14 (d) 13
  4. 4.What is the median of 11, 23, 15, 33, 6, 25 and 26? (a) 33 (b) 23 (c) 15 (d) 25
  5. 5.What is the mean of 2, 6, 5, 12 and 20? (a) 9 (b) 10 (c) 11 (d) 8
  6. 6.What is the median of 29, 9, 8, 27, 1, 10 and 28? (a) 9 (b) 16 (c) 10 (d) 27
  7. 7.What is the median of 9, 5, 33, 16 and 28? (a) 28 (b) 33 (c) 9 (d) 16
  8. 8.What is the mean of 2, 4, 13, 8, 2 and 7? (a) 6 (b) 8 (c) 5 (d) 7
  9. 9.What is the mean of 15, 20, 7 and 14? (a) 16 (b) 14 (c) 15 (d) 13
  10. 10.The mean of 4 numbers is 26. When the number 41 is added to them, what is the new mean? (a) 30 (b) 28 (c) 29 (d) 26
  11. 11.What is the mean of 18, 3, 17 and 14? (a) 15 (b) 13 (c) 12 (d) 14
  12. 12.What is the mean of 6, 8, 2, 5 and 14? (a) 7 (b) 9 (c) 8 (d) 6
  13. 13.What is the median of 6, 29, 3, 2, 4, 8 and 31? (a) 2 (b) 4 (c) 6 (d) 8
  14. 14.What is the median of 1, 40, 2, 12, 20, 9 and 35? (a) 9 (b) 20 (c) 12 (d) 17
  15. 15.What is the mean of 20, 11, 8, 17, 5 and 5? (a) 12 (b) 11 (c) 13 (d) 10
  16. 16.What is the median of 8, 33, 38, 6 and 19? (a) 19 (b) 33 (c) 38 (d) 8
  17. 17.What is the mode of 16, 3, 5, 16, 18, 18 and 18? (a) 3 (b) 16 (c) 5 (d) 18
  18. 18.What is the mean of 5, 17, 2 and 8? (a) 7 (b) 9 (c) 8 (d) 10
  19. 19.What is the mean of 19, 6, 16 and 7? (a) 16 (b) 11 (c) 12 (d) 13
  20. 20.What is the median of 21, 35, 8, 27, 24, 38 and 5? (a) 21 (b) 27 (c) 24 (d) 25
  21. 21.What is the median of 38, 19, 24, 14, 27, 1 and 21? (a) 24 (b) 14 (c) 21 (d) 19
  22. 22.What is the mode of 12, 4, 7, 4, 4, 19 and 7? (a) 7 (b) 12 (c) 4 (d) 19
  23. 23.What is the mode of 2, 13, 15, 15, 16, 16 and 16? (a) 16 (b) 2 (c) 15 (d) 13
  24. 24.What is the mean of 9, 5, 15, 9, 19 and 21? (a) 15 (b) 14 (c) 12 (d) 13
  25. 25.What is the mean of 14, 14, 3 and 21? (a) 12 (b) 15 (c) 14 (d) 13
  26. 26.What is the mode of 1, 1, 5, 9, 5, 2 and 5? (a) 9 (b) 1 (c) 5 (d) 2
  27. 27.What is the mode of 12, 12, 4, 20, 4, 16 and 4? (a) 20 (b) 4 (c) 16 (d) 12
  28. 28.What is the mean of 11, 15, 15, 3, 14 and 8? (a) 12 (b) 11 (c) 10 (d) 13
  29. 29.What is the mean of 2, 16, 5, 4, 17 and 10? (a) 9 (b) 8 (c) 11 (d) 10
  30. 30.What is the mode of 1, 19, 1, 1, 6, 15 and 6? (a) 6 (b) 15 (c) 1 (d) 19
  31. 31.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 41 (b) 49 (c) 37 (d) 42
  32. 32.The mean of 4 numbers is 37. When the number 32 is added to them, what is the new mean? (a) 36 (b) 38 (c) 35 (d) 37
  33. 33.What is the mean of 17, 19, 8, 8, 6 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  34. 34.What is the median of 11, 26, 6, 38 and 21? (a) 26 (b) 6 (c) 11 (d) 21
  35. 35.What is the median of 24, 2, 1, 33 and 13? (a) 13 (b) 1 (c) 24 (d) 2
  36. 36.What is the mean of 11, 2, 7, 12 and 8? (a) 9 (b) 8 (c) 7 (d) 10
  37. 37.What is the median of 10, 3, 25, 8 and 19? (a) 13 (b) 25 (c) 19 (d) 10
  38. 38.What is the mode of 17, 1, 14, 14, 12, 12 and 14? (a) 14 (b) 1 (c) 17 (d) 12
  39. 39.The mean of 6 numbers is 11. When the number 39 is added to them, what is the new mean? (a) 16 (b) 25 (c) 11 (d) 15
  40. 40.What is the median of 31, 38, 13, 2 and 23? (a) 31 (b) 13 (c) 24 (d) 23

Answer key

  1. 15
  2. 12
  3. 3
  4. 23
  5. 9
  6. 10
  7. 16
  8. 6
  9. 14
  10. 29
  11. 13
  12. 7
  13. 6
  14. 12
  15. 11
  16. 19
  17. 18
  18. 8
  19. 12
  20. 24
  21. 21
  22. 4
  23. 16
  24. 13
  25. 13
  26. 5
  27. 4
  28. 11
  29. 9
  30. 1
  31. 41
  32. 36
  33. 13
  34. 21
  35. 13
  36. 8
  37. 10
  38. 14
  39. 15
  40. 23

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